Everything you're posting involves right triangles, and
each one is solved with the Pythagorean formula:
(one leg)² + (other leg)² = (hypotenuse)²
For the tree . . .
Do you see the right triangle ?
They even marked a little box at the base of the stump
to remind you that there's a right angle there.
-- The stump is 3 meters high.
-- The broken part of the tree is on the ground
13 meters away from the stump.
-- The broken part of the tree is the hypotenuse.
(3)² + (13)² = (broken part)²
-- Before it fell over, the broken part stood on top of the 3-meter stump.
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#4). Your coordinates for point 'G' are correct, but
the coordinates of point 'F' should be (-1, 6), not (1,6).
If you know how to calculate the distance between 2 points,
then that little correction might fix the problem you're having.
The distance between two points is
Square root of [ (x₁-x₂)² + (y₁-y₂)² ]
or
Square root of [ (difference of the x's)² + (difference of the y's)² ] .
Without even using this formula, you could just look at
the graph, and do something like this:
-- From 'F', draw a line 2 units straight down.
-- From 'G', draw a line 4 units to the left.
-- Connect 'F' and 'G' .
Now you have a little right triangle.
The legs are 2 units and 4 units.
The hypotenuse is the distance between 'F' and 'G'.
(2)² + (4)² = (that distance)²
The solution would be like
this for this specific problem:
sin 54 degrees = Height/718.0624
Height = (sin 54 degrees)(718.0624) = 580.9 ft
So the height of the balloon is 580.9 ft. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
Answer:
Just hope for the best
Step-by-step explanation:
an negative can't be a absolute value
I think it is .1324 but I need a little more details.